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50 AMC Lectures Problem Book Volume 1

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Chapter 1 Algebra Manipulations                                                                    1

Chapter 2 Radicals                                                                                           7

Chapter 3 Solving Radical Equations                                                               22

Chapter 4 Absolute Values                                                                              32

Chapter 5 Solving Absolute Value Equations                                                  42

Chapter 6 Vieta Theorem and Applications                                                     50

Chapter 7 Square Numbers                                                                              57

Chapter 8 Divisibility                                                                                       64

Chapter 9 Geometry Congruent Triangles                                                       78

Chapter 10 Geometry Area and Area Method                                                  91

Chapter 11 Geometry Eight Methods To Draw Auxiliary Lines                    107

Chapter 12 Trigonometry Six Functions                                                        119

Chapter 13 Cubic Identities                                                                             127

Chapter 14 Arithmetic Sequence                                                                     132

Chapter 15 How to Use the Discriminant                                                         143

Chapter 16 Completing the Square                                                                  150

Chapter 17 Analytic Geometry Distance and Lines                                         157

Chapter 18 Functional Equations                                                                     165

Chapter 19 Squeezing Method                                                                         171

Chapter 20 Nonnegative Numbers                                                                   177

Chapter 21 Geometry Similar Triangles                                                          183

Chapter 22 Geometry Angle Bisector And Median                                          191

Chapter 23 Geometry Eight More Methods To Draw Auxiliary Lines             197

Chapter 24 Trigonometry Identities                                                                 205

Chapter 25 AM-GM Inequality                                                                       211

Index                                                                                                               249